For binomial distribution Mean Variance For Poisson distribu

For binomial distribution Mean Variance For Poisson distribution mean variance For exponential distribution, if mean is 10 what is the variance the distribution? For a chi-squares distribution if the mean is 50. What is the standard deviation of that distribution?

Solution

a) Mean > variance

b) Mean = Variance

c)

For exponential,

Variance = Mean^2

hence,

variance = 10^2 = 100 [ANSWER]

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d)

As for chi^2 distirbution,

variance = 2*mean

Then

variance = 2*50 = 100

hence,

standard deviation = sqrt(variance) = sqrt(100)

standard deviation = 10 [ANSWER]